Classification of Refinable Splines

  title={Classification of Refinable Splines},
  author={Xin-Rong Dai and De-Jun Feng and Yang Wang},
A refinable spline is a compactly supported refinable function that is piecewise polynomial. Refinable splines, such as the well known B-splines, play a key role in computer aided geometric designs. So far all studies on refinable splines have focused on positive integer dilations and integer translations, and under this setting a rather complete classification was obtained in [12]. However, refinable splines do not have to have integer dilations and integer translations. The classification of… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 14 references

Ten lectures on wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, 61

  • I. Daubechies
  • Society for Industrial and Applied Mathematics…
  • 1992
Highly Influential
3 Excerpts

Arithmetic properties of Bernoulli convolutions

  • A. M. Garsia
  • Trans. Amer. Math. Soc
  • 1962
Highly Influential
4 Excerpts

Self - a ffi ne tiles in R n

  • J. C. Lagarias, Y. Wang
  • Adv . Math .
  • 1996

On the random series ±λn (an Erdös problem)

  • B. Solomyak
  • Ann. of Math
  • 1995
2 Excerpts

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